| Base | Representation |
|---|---|
| bin | 10101101010010000101100… |
| … | …00010111110100000000000 |
| 3 | 20020122112101010011110222000 |
| 4 | 22311020112002332200000 |
| 5 | 22220343412120113210 |
| 6 | 245145345120144000 |
| 7 | 13014160250625240 |
| oct | 1265102602764000 |
| 9 | 206575333143860 |
| 10 | 47631557191680 |
| 11 | 141a4480312110 |
| 12 | 5413394168000 |
| 13 | 2076837710577 |
| 14 | ba9545b4db20 |
| 15 | 579015957ac0 |
| hex | 2b52160be800 |
47631557191680 has 1536 divisors, whose sum is σ = 222206519808000. Its totient is φ = 9376467517440.
The previous prime is 47631557191657. The next prime is 47631557191697. The reversal of 47631557191680 is 8619175513674.
47631557191680 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 1 + 557 + 19 + 1 + 68 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×476315571916802 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404431362 + ... + 404549118.
It is an arithmetic number, because the mean of its divisors is an integer number (144665703000).
Almost surely, 247631557191680 is an apocalyptic number.
47631557191680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47631557191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111103259904000).
47631557191680 is an abundant number, since it is smaller than the sum of its proper divisors (174574962616320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47631557191680 is a wasteful number, since it uses less digits than its factorization.
47631557191680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117830 (or 117804 counting only the distinct ones).
The product of its (nonzero) digits is 38102400, while the sum is 63.
The spelling of 47631557191680 in words is "forty-seven trillion, six hundred thirty-one billion, five hundred fifty-seven million, one hundred ninety-one thousand, six hundred eighty".
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